Basic Probability
The probability of 'A' happening is .68. Find its complement probability.
.32
Find the probability that a randomly drawn card is a spade OR a club?
1/2
In general, we define probability as the number of desired outcomes over ______?
the number of total outcomes
A line segment runs from (10, 6) to (2, 0). Find the length of this line?
10
A spinner wheel has the numbers 1-5. They are all equally likely occur. Find the expected value of the wheel.
3
An ice cream shop has two options (cone and cup), three sizes for each (S, M, and L). They have five flavor (vanilla, chocolate, orange, mint, and cookies 'n cream). How many options are there at the ice cream shop? Assume only one flavor per cone.
30
Find the probability that a randomly drawn card is a spade AND a club
Assume we have two sets of objects, A and B. What do we call the set of objects where either A OR B occur?
Union
Find the probability that a randomly chosen point on the line from (10, 6) to (2, 0) is between (6, 3) and (10, 6)?
1/2 or .5
A business makes an investment for $1,000. There is a 40% chance he loses his money, a 45% chance he profits $500, and a 15% chance he profits $1000. What is the expected value of his investment?
-$25
An ice cream shop has two options (cone and cup), three sizes for each (S, M, and L). They have five flavors (vanilla, chocolate, orange, mint, and cookies 'n cream). If Mr. Woodrome orders a 'random' ice cream order, find the probability that it is a chocolate cone.
1/10
Find the probability that a randomly drawn card is a diamond OR an odd numbered card (do not include Ace).
25/52
Assume we have two sets of objects, A and B. What do we call the set of objects where A and B BOTH occur?
Intersection
Find the probability that a randomly chosen point within the rectangle is also within the rectangle.
1
A golfer hits a green with a 500 sq ft area 80% of the time. What is the golfer's effective landing area of his shot?
625 sq ft
An ice cream shop has two options (cone and cup), three sizes for each (S, M, and L). They have five flavors (vanilla, chocolate, orange, mint, and cookies 'n cream). If Mr. Woodrome orders a 'random' ice cream order, find the probability that it is a medium chocolate cone.
1/30
Find the probability that a randomly drawn card is a face card (JQK) AND a black card (Spade or Club).
3/26
Expected Value
Find the probability that a randomly chosen point within the rectangle is also within either circle.
.79
A carnival game costs $10 to play. A six-sided dice is rolled and you win triple the amount shown on the dice. Find the expected value of one round of this game.
$.50
A fair coin is flipped 4 times. Find the probability that the result is all the same (HHHH, TTTT)?
1/8
A random number generator selects a random number from 1-100, inclusive. If A is the set of numbers that are even and B is the set of numbers that are divisible by 5, find P(A∪B).
What are the two 'infinite countable objects' we worked with in geometric probability?
Length and Area
Find the probability that a randomly chosen point within the rectangle is within the shaded area.
.21
A person equally chooses between three options for lunch every day. Option A has 600 calories, Option B has 1,000 calories, and Option C has 720 calories. Find the expected value of their calories consumed at lunch over a 1-month (30 days) period.
23,400 calories.